000 02415nab a2200373 c 4500
001 vtls000792070
003 RU-ToGU
005 20230207175208.0
007 cr |
008 210115|2020 xxu s a eng dd
024 7 _a10.1137/S0040585X97T989921
_2doi
035 _ato000792070
040 _aRU-ToGU
_brus
_cRU-ToGU
100 1 _aNguen, Thai Huu
_9508762
245 1 0 _aApproximate hedging with constant proportional transaction costs in financial markets with jumps
_cT. H. Nguyen, S. M. Pergamenshchikov
336 _aТекст
337 _aэлектронный
504 _aБиблиогр.: 38 назв.
520 3 _aWe study a problem of option replication under constant proportional transaction costs in models where stochastic volatility and jumps are combined to capture the market's important features. Assuming some mild condition on the jump size distribution we show that transaction costs can be approximately compensated by applying the Leland adjusting volatility principle and the asymptotic property of the hedging error due to discrete readjustments is characterized. In particular, the jump risk can be approximately eliminated and the results established in continuous diffusion models are recovered. The study also confirms that for the case of constant trading cost rate, the approximate results established by Kabanov and Safarian (1997) and by Pergamenschikov (2003) are still valid in jump-diffusion models with deterministic volatility using the classical Leland parameter.
653 _aстохастическая волатильность
653 _aаппроксимационное хеджирование
653 _aсуперхеджирование
653 _aквантильное хеджирование
653 _aЛеленда стратегия
653 _aоперационные издержки
653 _aмодель со скачками
655 4 _aстатьи в журналах
_9745982
700 1 _aPergamenshchikov, Serguei M.
_998934
773 0 _tTheory of probability and its applications
_d2020
_gVol. 65, № 2. P. 224-248
_x0040-585X
852 4 _aRU-ToGU
856 4 _uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000792070
908 _aстатья
999 _c477220